i. The given vertex is 2eπi/6. Hence the other 5 are z=2e(2k+1)πi/6, k=±1, ±2, -3.
ii. z4=16e2πki/3, k=0, ±1 giving the vertices of an equilateral triangle circumscribed by a circle with radius 16. Hence Area(S)=(3x162/2)sin(2π/3)=192√3 (since the area of a regular n-gon circumscribed by a...